Find the equation of the tangent line to the graph of the function f (x) - - Enter the exact answer. 2+7 2-8 at the point (0,-).

Q: f(t) = 3 Sgh(st) - ans: F(W) = 2013 1+jt гпе

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Q: 17 The waiting time for a bus has probability density (1/10)e/¹0, with = 10 minutes. What is the…

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Q: Define f : R 2 → R by f(x, y) = x 2 + y 2 . Compute the linearization of f at (−1, 1).

A: We have to find the linearlization at (-1, 1)

Q: 5. Determine the minimum and maximum values for y = 250(0.90)* for 0 ≤ x ≤ 6.

A: Given data y=2500.90x   To find maxima and minima we need to find critical points by equating dydx=0…

Q: 6. Use the difference quotient to estimate the 2 instantaneous rate of change in f(x) = x² at x=3…

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Q: A linear function is given. s(w) = −0.2w − 8 (a) Sketch the graph.   (b) Find the slope of the…

A: NOTE: Refresh your page if you can't see any equations. . divide both sides by -8

Q: Find y as a function of t if y(t) y" + 2y + 10y = 0, y(0) = 8, y'(0) = 9.

A: The given DE is: y''+2y'+10y=0 The auxiliary equation of the given DE is:…

Q: O t-sin(t)

A: the answer is t-sin(t)  provided the solution below with steps in step2

Q: e differentiation to find a power series re f(x) = Σ( n = 0 1 (4 + x)² s the radius of convergence,…

A: We have to find the power series of the given function and radius of convergence according to the…

Q: Give some examples atleast three where basic comparison test fails . Also investigate convergence of…

A: Given : we will given the three example where the basic camparison test fails.

Q: Find the directional derivative of the function at the given point in the direction of vector v.…

A: The objective of the question is evaluate the directional derivative at the given point and…

Q: It is known that sin x = +∞0 (-1)" Σ|zn+1)! (2n + 1)! n=0 1. Find the Maclaurin series for x…

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Q: Find the particular solution of the differential equation that satisfies the initial condition(s).…

A: Given:    f''(x) = 4    f'(2) = 11    f(2) = 16

Q: A vendor at a carnival sells cotton candy and caramel apples for $2 each. The vendor is charged $175…

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Q: Use cylindrical shells to find the volume of the solid generated when the region enclosed by the…

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Q: The graph of f(x) is given below. On what interval(s) is the value of the derivative f'(x) negative?…

A: Solution ) f'(x) negative where the graph of f(x) is decreasing  Hence the interval where f(x)…

Q: . Use the definition of Taylor series to find the first four nonzero terms of the Taylor series for…

A: Taylor series ;             In the more compact sigma notation, this can be written as…

Q: Solve and check the linear equation. 6x+1=31

A: NOTE: Refresh your page if you can't see any equations. . subtract 1 from both sides divide both…

Q: 1- Consider the following nonlinear 10x - 3+e-³-2³ sin(x) = 0. a) Prove that the nonlinear equation…

A: GIVEN:- 10x-3+e^(-3x)-x^3sin(x)=0

Q: The measurement of the edge of a cube is measured to be 9 inches, with a possible error of 0.04…

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Q: Evaluate ·S dx 2 ²√x²-9

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Q: Complete detailed solution. What is the equation of the tangent line at (0,0) of f(x)=2x²-3x

A: We need to find out the equation of the tangent line at the given point to the curve given.

Q: 4. Given f(x) = sin² (2x) find the slope at (5, 1) a)-√3 b) √3 d) 0.1395

A: As we know that; The slope of the tangent line to the given curve is equal to the derivative of the…

Q: 6. Find the value of -1 √2-x² =[+1/²/² (x² + y²) dy dx + ***** ++ [ ₁²2= ² ( 2² + 1²³) dy dx √2-1²…

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Q: Find the sum of the convergent series. (Round your answer to four decimal places.) Σ (sin(3))" n = 1…

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Q: We are trying to prove a certain limit. One of the steps in the proof is to show that for every &> 0…

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Q: Using tabular int In 2

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Q: By definition, (f ∘ g)(x) =     . So if g(6) = 10 and f(10) = 21, then (f ∘ g)(6) =

A: Topic:- function

Q: Write an expression for the nth term of the sequence. (Your formula should work for n = 1, 2, ....)…

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Q: Use the gradient to find the directional derivative of the function at P in the direction of Q. f(x,…

A: We know that the directional derivative of a function f(x, y) at a point P in the direction of a…

Q: ! The derivative with respect to x of the function sec y where y = sec ¹ (2* cot¹x) is sec(2* cot¯¹…

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Q: What is the circumference of the circle with a diameter of 4 cm?

A: circle is given  diameter of circle = 4 cm  we have to find circumference of circle  formula of…

Q: 6. Find the value of 2-x² 2-2 I = [₁ ²2² (2² +1²) dy dx + [ ²7 ( 2² + y²) dy dz √2J-√√2-1² by…

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Q: Identify three cases for a function NOT to be differentiable at a. Explain why each case fails the…

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Q: For the graph below, identify a restricted domain for which the function has an inverse that is also…

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Q: Use a graphing utility to approximate (to three decimal places) the solutions of the equation in the…

A: Using ÷ cscx=1sinx   1sin2x-8=0 1sin2x=8 sin2x=18 Now taking inverse and finding values of x we get…

Q: 1. Use the substitution method to evaluate S₁² VAZ ²³ + 50 dx

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Q: 1.16 Let f(x) = lim_f(x) = H-4 2, 4x + 19, Calculate the following limits. Enter DNE if the limit…

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Q: Σ + 1 + sin2 η 10η n=1

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Q: Check convergence of En=1c cos 5 -¹ (²) - cos ¹ (²1) n+1

A: Use series convergence test

Q: Letter E

A: Solving letter (E)

Q: A window has perimeter 10 m and is in the shape of a rectangle with the top edge replaced by a…

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Q: Evaluate the following integrals [ (2x + 4)dx x2 – 5x +6

A: Given, ∫2x+4x2-5x+6dx

Q: The trigonometric integral fs sec² x (tan³ x - 2 tan7 x) dx is equal to

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Q: A one-lane highway runs through a tunnel in the shape of one-half a sine curve cycle. The opening is…

A: Given :- The shape of the tunnel = One-half sine curve cycle The height of the road at its highest…

Q: If f (x) = x² - x and g(x)=√x-2, what is (fog)(x) ? Simplify your answer. x²-x-2 /x² - 2 2-x-2 O…

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Q: Solve: f b. Od In(Ink) dk 2k (Ink) In[In (Ink) - 1] Ink [In (Ink)-1] In(Ink)-1 k In (Ink) - 1

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Q: If k 0 then the trigonometric integral [ 3 sin³ (kx) dx is equal to ¹(3 cos(kr) cos³ (kr)] + C

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Q: Use the information to evaluate and compare Ay and dy. (Round your answers to four decimal places.)…

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Q: 2. Determine the zeroes of 2 x² = x f(x) instantaneous zeroes using a table of values. — 3x 4 and…

A: To find the zeroes of the polynomial.